The revival–collapse phenomenon in the higher-order fluctuations of quadrature field components of the multiphoton Jaynes–Cummings model
Faisal A. A. El-Orany · Journal of Physics A Mathematical and General · 2005
For a system of multiphoton Jaynes–Cummings model, which represents the interaction of a two-level atom with the radiation field, we study the connection between the atomic inversion, in particular the occurrence of revival–collapse phenomenon (RCP), and the higher-order fluctuation factors. We assume that the atom and the field are initially prepared in the excited and the k -photon coherent states, respectively. We show that there is a class of states for which the higher-order fluctuation factor can provide RCP similar to that involved in the corresponding atomic inversion. Moreover, for initial coherent light we prove that the higher-order fluctuation factor of the three-photon transition can provide RCP similar to that occurring in the atomic inversion of the one-photon transition. As an example we discuss the fourth-order fluctuation in detail.